Preprint 2014-015

Transport-collapse scheme for heterogeneous scalar conservation laws

Darko Mitrović and Andrej Novak

Abstract:
We extend Brenier’s transport collapse scheme
on heterogeneous scalar conservation laws with initial and boundary data.
It is based on averaging out the solution
to the corresponding kinetic equation,
and it necessarily converges toward the entropy admissible solution
of the considered problem.
We also provide numerical examples.

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